Pith Number

pith:GHKA72OT

pith:2026:GHKA72OTDOAAIPHMOP2MWHRBT3

not attested not anchored not stored refs pending

Discriminants of derivatives and symmetric difference polynomials

Boris Shapiro

arxiv:2605.25743 v1 · 2026-05-25 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHKA72OTDOAAIPHMOP2MWHRBT3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-26T02:04:52.899953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d40fe9d31b80043cec73f4cb1e219efb5f664a451788d0427d2216ca11ddfd

Aliases

arxiv: 2605.25743 · arxiv_version: 2605.25743v1 · doi: 10.48550/arxiv.2605.25743 · pith_short_12: GHKA72OTDOAA · pith_short_16: GHKA72OTDOAAIPHM · pith_short_8: GHKA72OT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GHKA72OTDOAAIPHMOP2MWHRBT3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 31d40fe9d31b80043cec73f4cb1e219efb5f664a451788d0427d2216ca11ddfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf09e583ff56c15bc70a4d141fcbfa4212919a32ec5b970f14f0a9102d79520",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-25T11:56:11Z",
    "title_canon_sha256": "ef2f75166d174aa2f3f3d577e86d01b5c1b7714678573a5451bbc881634f526a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25743",
    "kind": "arxiv",
    "version": 1
  }
}